Problem 3 The Cylindrical Solid A solid 3'?" lies within the cylinder 2:2 + 3:2 = 1, belowr.r the plane .2: = 4, and above the paraboloid z = 1 :32 yz. The density p{:$, y, 2:] at any point is proportional to its distance from the axis of the cylinder and is given by p{:3,y, z] = K #32 + \"3'2, where K is the proportionality constant. {i} Express the domain '39" in cylindrical coordinates. (ii) Integrate p(r,y,z} over W using cylindrical coordinates